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2053418406 = 2313172711283
BaseRepresentation
bin111101001100100…
…1010110110100110
312022002212110111120
41322121022312212
513201133342111
6535431514410
7101612524404
oct17231126646
95262773446
102053418406
11964112706
12493828a06
1326955b6a0
14156a02474
15c0415406
hex7a64ada6

2053418406 has 96 divisors (see below), whose sum is σ = 4768098048. Its totient is φ = 585822720.

The previous prime is 2053418401. The next prime is 2053418443. The reversal of 2053418406 is 6048143502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053418401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1599841 + ... + 1601123.

It is an arithmetic number, because the mean of its divisors is an integer number (49667688).

Almost surely, 22053418406 is an apocalyptic number.

2053418406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053418406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384049024).

2053418406 is an abundant number, since it is smaller than the sum of its proper divisors (2714679642).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2053418406 is a wasteful number, since it uses less digits than its factorization.

2053418406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2053418406 is about 45314.6599457615. The cubic root of 2053418406 is about 1271.0398010945.

The spelling of 2053418406 in words is "two billion, fifty-three million, four hundred eighteen thousand, four hundred six".

Divisors: 1 2 3 6 13 17 26 34 39 51 71 78 102 142 213 221 289 426 442 578 663 867 923 1207 1283 1326 1734 1846 2414 2566 2769 3621 3757 3849 5538 7242 7514 7698 11271 15691 16679 20519 21811 22542 31382 33358 41038 43622 47073 50037 61557 65433 91093 94146 100074 123114 130866 182186 266747 273279 283543 370787 533494 546558 567086 741574 800241 850629 1112361 1184209 1548581 1600482 1701258 2224722 2368418 3097162 3552627 4645743 4820231 7105254 9291486 9640462 14460693 20131553 26325877 28921386 40263106 52651754 60394659 78977631 120789318 157955262 342236401 684472802 1026709203 2053418406